Assuming this is a TV with a cathode ray tube;
Most likely, the shadowmask (a thin sheet of metal immediately behind the galss tube face) has become magnetized.
Usually this is simply from the earth magnetic field but can be caused by any magnetism in close proximity to the TV. (eg. loudspeakers contain large magnets). Also, moving the position of the TV can create/alter the effect, or proximity of large metal objects (central heating radiators).
Though most commonly it's due to failure of a component called a positor (part the TV's own automatic demagnetizing circuit).
These are very cheap and it is usually one of the least expensive of common TV repairs & a 10 minute repair.
Extrememly rarely, the problem is caused by mechanical shock to the shadowmask causing it to warp or become dislodged. That would require replacement of the cathode ray tube (tube).
A service engineer may manually degauss the TV and/or the surrounding area if the problem is persistent.
Cobweb
June 2005